分析和微分方程讨论班——The dichotomy of Nikodym sets and local smoothing estimates for wave equations
来源：太阳集团tcy8722网站
发布时间：2024-06-03
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报告人：陈铭峰（威斯康星麦迪逊分校）
时间：2024年6月12日，16:10-17:10
地点：海纳苑2幢202
摘要：In this talk, I will talk about maximal operator in the plane. After reviewing some classical results of Bourgain circular maximal theorem and Sogge’s cinematic curvature, I will focus on our result. We classify planar maximal functions: We find all the curves such that Nikodym sets exist, thus the maximal operator is not bounded on L^p for any p<∞; For other curves, we prove sharp L^p bound. This is based on joint work with Shaoming Guo.
联系人：席亚昆（yakunxi@zju.edu.cn）